Solving Equations and Inequalities RETAKE

Solve the following compound inequality:

 $9\ \le\ -6x\ -\ 3<21$  

•  $-2\ \le\ x\ <\ -4$  

•  $2\ \le\ x\ <4$  

•  $-4\ <\ x\ \le\ -2$  

•  $4\ <\ x\ \le\ 2$  

Solve the following equation for "a"

 $-2\left(3a\ -\ 2\right)\ =\ \frac{1}{3}\left(7\ -\ 3a\right)$  

•  $-\frac{1}{3}$  

•  $\frac{1}{3}$  

• 3

• -3 

Solve for "P"

 $A\ =\ P\left(r\ +\ 1\right)$  

•  $P\ =\ A\left(r\ +\ 1\right)$  

•  $P\ =\ \frac{A}{r\ +\ 1}$  

•  $P=\ A\ +\ \left(r\ +\ 1\right)$  

•  $P\ =\ A\ -\ \left(r\ +\ 1\right)$  

Tags

CCSS.HSA.CED.A.4

Solve the following for "y"

 $3x\ -\ 3y\ =\ 15\$  

•  $y\ =\ x\ -\ 5$  

•  $y\ =\ -x\ -\ 5$  

•  $y\ =\ x\ +\ 5$  

•  $-y\ =\ -x\ -\ 5$  

Tags

CCSS.6.EE.C.9

ORIGINAL: 5x - 7 + 4x = 2(5x + 12)

STEP 1: 9x - 7 = 2(5x + 12)

STEP 2: 9x - 7 = 10x + 24

STEP 3: -7 = x + 24

STEP 4: -31 = x

What property justifies what happened between the original equation and step 1?

• Addition Property

• Subtraction Prperty

• Combine Like Terms (CLT)

• Distributive Property

ORIGINAL: 5x - 7 + 4x = 2(5x + 12)

STEP 1: 9x - 7 = 2(5x + 12)

STEP 2: 9x - 7 = 10x + 24

STEP 3: -7 = x + 24

STEP 4: -31 = x

What property justifies what happened between Step 1 and step 2?

• Multiplication Property

• Subtraction Prperty

• Combine Like Terms (CLT)

• Distributive Property

ORIGINAL: 5x - 7 + 4x = 2(5x + 12)

STEP 1: 9x - 7 = 2(5x + 12)

STEP 2: 9x - 7 = 10x + 24

STEP 3: -7 = x + 24

STEP 4: -31 = x

What property justifies what happened between Step 2 and step 3?

• Multiplication Property

• Subtraction Prperty

• Combine Like Terms (CLT)

• Distributive Property

ORIGINAL: 5x - 7 + 4x = 2(5x + 12)

STEP 1: 9x - 7 = 2(5x + 12)

STEP 2: 9x - 7 = 10x + 24

STEP 3: -7 = x + 24

STEP 4: -31 = x

What property justifies what happened between Step 3 and step 4?

• Multiplication Property

• Subtraction Prperty

• Combine Like Terms (CLT)

• Distributive Property

Determine the solution of the following equation:

 $-6n\ -\ 20\ =\ -2n\ +\ 4\left(1\ -\ 3n\right)$  

• n = 3

• n = -3 

• No Solution 

• Infinitly Many Solutiuons 

Determine the solution of the inequality:

 $-6\left(1\ +\ 6x\right)\ <\ 6\left(1\ -\ 5x\right)$  

• x < -2 

• x > -2

• x < 2

• x > 2